Means of Hilbert Space Operators
Published on 19. August 2003
Book
Paperback/Softback
VIII, 156 pages
978-3-540-40680-8 (ISBN)
Description
The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.
More details
Series
Edition
2003 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 156 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
260 gr
ISBN-13
978-3-540-40680-8 (9783540406808)
DOI
10.1007/b13213
Schweitzer Classification
Other editions
Additional editions
Fumio Hiai | Hideki Kosaki
Means of Hilbert Space Operators
E-Book
12/2003
Springer
€39.58
Available for download
Persons
Fumio Hiai is an Emeritus Professor at the Graduate School of Information Science, Tohoku University, Sendai, Japan, whose research interests are operator theory, operator algebras and quantum probability. He published more than 95 papers and several books on various subjects of mathematics, including more than 20 papers on matrix analysis. His recent interest is also quantum information.
Content
Introduction.- Double integral transformations.- Means of operators and their comparison.- Convergence of means.- A-L-G interpolation means Ma.- Heinz-type means Aa.- Binomial means Ba.- Certain alternating sums of operators.- Appendices.- References.- Index.